Finding the Third Proportional to 14,642 and 35,390

Step by Step Solution

1. Step 1: Write the proportion equation
   14,642 : 35,390 = 35,390 : x
2. Step 2: Convert to fraction form
   14,642/35,390 = 35,390/x
3. Step 3: Cross multiply
   14,642x = 35,390 × 35,390
4. Step 4: Simplify right side
   14,642x = 1,252,452,100
5. Step 5: Solve for x
   x = 1,252,452,100/14,642
6. Step 6: Final answer
   x = 85,538.32